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Finding the Third Proportional to 83,692,224 and 180,209,008

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Solution

The third proportional to 83,692,224 and 180,209,008 is: 388,032,304.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,692,224 : 180,209,008 = 180,209,008 : x
  2. Step 2: Convert to fraction form
    83,692,224/180,209,008 = 180,209,008/x
  3. Step 3: Cross multiply
    83,692,224x = 180,209,008 × 180,209,008
  4. Step 4: Simplify right side
    83,692,224x = 32,475,286,564,344,064
  5. Step 5: Solve for x
    x = 32,475,286,564,344,064/83,692,224
  6. Step 6: Final answer
    x = 388,032,304.70

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.